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Finding the Fourth Proportional to 302,073.72, 416,853.24 and 166,107.96

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Solution

The fourth proportional to 302,073.72, 416,853.24 and 166,107.96 is: 229,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,073.72 : 416,853.24 = 166,107.96 : x
  2. Step 2: Convert to fraction form
    302,073.72/416,853.24 = 166,107.96/x
  3. Step 3: Cross multiply
    302,073.72x = 416,853.24 × 166,107.96
  4. Step 4: Simplify right side
    302,073.72x = 69,242,641,315.79
  5. Step 5: Solve for x
    x = 69,242,641,315.79/302,073.72
  6. Step 6: Final answer
    x = 229,224.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.